Weak Gravity Conjecture in de Sitter space-time

Abstract

We propose a generalisation of the Weak Gravity Conjecture in de Sitter space by studying charged black-holes and comparing the gravitational and an abelian gauge forces. Using the same condition as in flat space, namely the absence of black-hole remnants, one finds that for a given mass $m$ there should be a state with a charge $q$ bigger than a minimal value $q_{\min }(m,l)$, depending on the mass and the de Sitter radius $l$, in Planck units. In the large radius flat space limit (large $l$), $q_{\min }\to m$ leading to the known result $q>m/\sqrt{2}$, while in the highly curved case (small $l$) $q_{\min }$ behaves as $\sqrt{ml}$. We also discuss the example of the gauged R-symmetry in $N=1$ supergravity.

15 pages, 2 figures

References in corpus (3)

• On the Geometry of the String Landscape and the Swampland
• Festina Lente: EFT Constraints from Charged Black Hole Evaporation in de Sitter
• Weak gravity conjecture in the asymptotical dS and AdS background

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• Black Hole Extremality in Nonlinear Electrodynamics: A Lesson for Weak Gravity and Festina Lente Bounds
• Hitchhiker's Guide to the Swampland: The Cosmologist's Handbook to the string-theoretical Swampland Programme
• A note on Strong Cosmic Censorship and its violation in Reissner-Nordström de Sitter black hole space-times